72013400 has 72 divisors (see below), whose sum is σ = 172118820. Its totient is φ = 28019520.

The previous prime is 72013399. The next prime is 72013427. The reversal of 72013400 is 431027.

72013400 = T₄ + T₅ + ... + T₇₅₅.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 441719 + ... + 441881.

Almost surely, 2^72013400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86059410).

72013400 is an abundant number, since it is smaller than the sum of its proper divisors (100105420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72013400 is a wasteful number, since it uses less digits than its factorization.

72013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 72013400 is about 8486.0709400759. The cubic root of 72013400 is about 416.0425714569.

Adding to 72013400 its reverse (431027), we get a palindrome (72444427).

It can be divided in two parts, 7201 and 3400, that added together give a palindrome (10601).

The spelling of 72013400 in words is "seventy-two million, thirteen thousand, four hundred".